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arXiv · 2311.18633

The joint spectral radius is pointwise H\"older continuous

Jeremias Epperlein·Fabian Wirth
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Abstract

We show that the joint spectral radius is pointwise H\"older continuous. In addition, the joint spectral radius is locally H\"older continuous for $\varepsilon$-inflations. In the two-dimensional case, local H\"older continuity holds on the matrix sets with positive joint spectral radius.

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BibTeXRIS

Jeremias Epperlein, Fabian Wirth. 2023-11-30. The joint spectral radius is pointwise H\"older continuous. https://doi.org/10.1016/j.laa.2024.09.016

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